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Finding the Fourth Proportional to 11,787, 16,266.06 and 6,482.16

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Solution

The fourth proportional to 11,787, 16,266.06 and 6,482.16 is: 8,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787 : 16,266.06 = 6,482.16 : x
  2. Step 2: Convert to fraction form
    11,787/16,266.06 = 6,482.16/x
  3. Step 3: Cross multiply
    11,787x = 16,266.06 × 6,482.16
  4. Step 4: Simplify right side
    11,787x = 105,439,203.49
  5. Step 5: Solve for x
    x = 105,439,203.49/11,787
  6. Step 6: Final answer
    x = 8,945.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.